Factroise
`(i) a^3+b^3+a+b`
`(ii) a^3-b^3-a+b`

Factroise (a^6-b^6)

Factorise : (i) 9a^(3)-27b^(3) " " (ii) a^(3)-343 " " (iii) a^(3)-(27)/(a^(3)) " " (iv) 1+8a^(3) " " (v) (a+b)^(3)-(a-b)^(3) .

i) (2a-3b)^3

Factroise (2a+3b)^3-(2a-3b)^3 .

Factroise (i) a^3-2sqrt(2)b^3 (ii)1-64a^3 (iii) 8a^3-27b^3

Factroise (i) 2a^7-128a (ii) a^7+ab^6 (iii) 32a^3+108b^3

Identify the monomials, binomials, trinomials and quadrinomials from the following expressions: (i) 3a b^2 (ii) a^3+b^3-3a b+5

Expand (i) (4a+5b)^3 (ii) (3a-2b)^3

Factroise (i) 1+64x^3 (ii) 27x^3+125y^3 (iii) (x+1)^3+(x-1)^3

Prove that: (a-b)^3=a^3-b^3-3a b(a-b)